{"title":"Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP in 2D with general right-hand side","authors":"T. Ayele, S. Mikhailov","doi":"10.1216/jie.2021.33.403","DOIUrl":null,"url":null,"abstract":"Applying the two-operator approach, the mixed (Dirichlet-Neumann) boundary value problem for a second-order scalar elliptic differential equation with variable coefficient is reduced to several systems of Boundary Domain Integral Equations, briefly BDIEs. The two-operator BDIE sys- tem equivalence to the boundary value problem, BDIE solvability and invertibility of the boundary- domain integral operators are proved in the appropriate Sobolev spaces.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Integral Equations and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1216/jie.2021.33.403","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 9
Abstract
Applying the two-operator approach, the mixed (Dirichlet-Neumann) boundary value problem for a second-order scalar elliptic differential equation with variable coefficient is reduced to several systems of Boundary Domain Integral Equations, briefly BDIEs. The two-operator BDIE sys- tem equivalence to the boundary value problem, BDIE solvability and invertibility of the boundary- domain integral operators are proved in the appropriate Sobolev spaces.
期刊介绍：
Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications.
The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field.
The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.
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